6x+7(16-x)=100

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Solution for 6x+7(16-x)=100 equation:


Simplifying
6x + 7(16 + -1x) = 100
6x + (16 * 7 + -1x * 7) = 100
6x + (112 + -7x) = 100

Reorder the terms:
112 + 6x + -7x = 100

Combine like terms: 6x + -7x = -1x
112 + -1x = 100

Solving
112 + -1x = 100

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-112' to each side of the equation.
112 + -112 + -1x = 100 + -112

Combine like terms: 112 + -112 = 0
0 + -1x = 100 + -112
-1x = 100 + -112

Combine like terms: 100 + -112 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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